Vortex Sheet Simulations of 3D Flows Using an Adaptive Triangular Panel/Particle Method

ACKNOWLEDGEMENTS I would like to thank my advisor Robert Krasny, without whom this thesis would never have been possible. The highest standard he always sets for himself has been inspiring me over all these years. Beside the knowledge he has taught me, I am particularly grateful for his enormous patience and encouragement during many periods when no progress in was made. I look forward to working with him in the future. I would also like to thank Professor Smadar Karni for being my second thesis reader, and Professor Werner Dahm and Professor Sijue Wu for agreeing to sit on my thesis committee. I am grateful to Professor August Evrard for letting me use their computer cluster to perform the computations. The staff in the graduate office of mathematics has been of tremendous help in non-academic affairs and I appreciate their assistance. I have been fortunate to know some good friends in Ann Arbor. I am appreciative to their friendship and hope that it will continue. Last, I would like to thank my family for their emotional support during this seemingly unending project.